Just because it's a conservative area doesn't mean that your name change is doomed. What matters (and this varies from state to state) is how much leeway the judges are given, and the main reason they have for denying a name change is if you're suspected to be committing fraud. Since you're 18 it is highly unlikely that they'd suspect that (since you probably wouldn't have had time to commit a felony and be released, or have large amounts of debt). Likewise it may be different in MI, but where I'm from someone can challenge a name change only on account that they think you're trying to defraud them, so an anti-trans parent wouldn't have standing where I live to challenge a name change.
You've probably already filed the petition so it would then be irrelevant for you, but I often suggest those changing their names in less-than-ideal-for-trans jurisdictions not even attest their trans status in the petition (and instead give the reason as something like personal preference, they wish to assume the name they've been informally known by, etc.). By doing that (as opposed to giving your gender change as the reason) it forces the judiciary if they deny your name change to possibly start a precedent on what constitutes a "male" or "female" name legally, which could have effects well beyond the trans community they want to avoid (as in potentially affecting anyone choosing a name for their baby). (By contrast a case deciding something like the validity of a trans marriage will have little effect beyond the trans and intersex communities, so a judge would have more freedom at making an unfavorable ruling with a case like that.)
There is a bit of a benefit of changing your name in a rural area if privacy down the road is a concern for you, because if you have to publish your name change it's more likely to remain off the Internet and other easily searchable means if it's published in a small-town newspaper as opposed to a major big-city one.
